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suter [353]
3 years ago
6

For the given cost function C(x), find the oblique asymptote of the average cost function C(X), C(x)=14,000+94x+0.03x^2

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0
Answer: y = 0.03x + 94

--------------------------------------

Explanation:

Lets define A(x) to be the average cost function where 
A(x) = C(x)/x
basically you divide the given cost function C(x) by the number of units produced (x)

Dividing C(x) over x leads to:
A(x) = C(x)/x
A(x) = (14000+94x+0.03x^2)/x ... substitution
A(x) = (0.03x^2+94x+14000)/x ... rearrange terms
A(x) = (0.03x^2)/x+(94x)/x+(14000)/x ... break up the fraction
A(x) = 0.03x + 94 + (14000/x) ... simplify

If x were to head off to infinity, then the portion 14000/x approaches 0. 

So this is why the oblique asymptote is y = 0.03x + 94

Basically, in the long run, the average cost will approach y = 0.03x + 94

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Step-by-step explanation:

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4 0
3 years ago
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Answer:

35 mi²

Step-by-step explanation:

Let's subdivide the figure, as shown.

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3 0
3 years ago
Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *
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Answer:

$13,793

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years. *

The formula for Depreciation rate =

y = a(1 - r) ^t

Where

y = Value of the car after t years

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3 years ago
Point C is located at (1, 2) and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance fro
fomenos
If we use similar triangles ( as shown in the attachment ) we will see that the line CM is also  1/4 *( yC-yD)= 1/4*(2+2) = 1/4*4 =1
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Download docx
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3 years ago
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